GCSE Maths: Algebraic Fractions
Simplify, add, subtract, multiply and divide algebraic fractions. Practise it with adaptive questions for AQA, Edexcel, OCR and Eduqas.
What you need to know
The concepts examiners test on algebraic fractions, and what each one is really asking.
Where marks get lost
The exam technique that separates a correct method from a correct answer.
- Cancelling terms that are added instead of multiplied (e.g. crossing out x in (x+3)/(x+2) - WRONG!)
- Not finding a common denominator when adding/subtracting
- Forgetting to multiply the entire numerator when finding a common denominator
- Not fully factorising before attempting to simplify
Algebraic Fractions questions students ask
Is Algebraic Fractions on the Foundation paper?
Yes. Algebraic Fractions appears at both Foundation and Higher tier, though Higher papers take it further.
What should I know before starting Algebraic Fractions?
It builds on Fractions operations and Factorising quadratics and Expanding brackets. If those feel shaky, practise them first — Algebraic Fractions questions assume them.
What is the most common mistake in Algebraic Fractions?
Cancelling terms that are added instead of multiplied (e.g. crossing out x in (x+3)/(x+2) - WRONG!).
Which exam boards cover Algebraic Fractions?
All four we support — AQA, Edexcel, OCR and Eduqas. GCSE Maths subject content is set by the DfE, so the topic is common to every board; what changes is the paper structure and the grade boundaries.